I have one computer with Thunderbird on it (of course

So is it possible to have separate address books for each phone and then select my personal address book to sync with my personal phone and then my work one to the work phone?
If so, would I do it by creating a separate address book and then somehow "linking" it with my new phone?
Or do I need to create a completely separate Thunderbird profile to do so?
Thanks for any help!